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In the xy‑plane above, a point (not shown) with coordinates (s, t) lies on the graph of the linear function f.If s and t are positive integers, what is the ratio of t to s ?
  • a)
    1 to 3
  • b)
    1 to 2
  • c)
    2 to 1
  • d)
    3 to 1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the xyplane above, a point (not shown) with coordinates (s, t) lies...
Choice C is correct. The line shown has a slope of  = 2 and a y-intercept of (0, 0); therefore, the equation of the line is y = 2x. This means that for each point on the line, the value of the y-coordinate is twice the value of the x-coordinate. Therefore, for the point (s, t), the ratio of t to s is 2 to 1.
Choice A is incorrect and would be the ratio of t to s if the slope of the line were 1/3. Choice B is incorrect and would be the ratio of t to s if the slope of the line were 1/2 . Choice D is incorrect and would be the ratio of t to s if the slope of the line were 3.
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In the xyplane above, a point (not shown) with coordinates (s, t) lies on the graph of the linear function f.If s and t are positive integers, what is the ratio of t to s ?a)1 to 3b)1 to 2c)2 to 1d)3 to 1Correct answer is option 'C'. Can you explain this answer?
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